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Finding the Third Proportional to 142,047,815,730.50 and 309,101,768,698.50

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Solution

The third proportional to 142,047,815,730.50 and 309,101,768,698.50 is: 672,617,899,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047,815,730.50 : 309,101,768,698.50 = 309,101,768,698.50 : x
  2. Step 2: Convert to fraction form
    142,047,815,730.50/309,101,768,698.50 = 309,101,768,698.50/x
  3. Step 3: Cross multiply
    142,047,815,730.50x = 309,101,768,698.50 × 309,101,768,698.50
  4. Step 4: Simplify right side
    142,047,815,730.50x = 95,543,903,412,540,992,913,408
  5. Step 5: Solve for x
    x = 95,543,903,412,540,992,913,408/142,047,815,730.50
  6. Step 6: Final answer
    x = 672,617,899,270.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.