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Finding the Third Proportional to 45,500,760.50 and 97,378,814.50

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Solution

The third proportional to 45,500,760.50 and 97,378,814.50 is: 208,406,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,500,760.50 : 97,378,814.50 = 97,378,814.50 : x
  2. Step 2: Convert to fraction form
    45,500,760.50/97,378,814.50 = 97,378,814.50/x
  3. Step 3: Cross multiply
    45,500,760.50x = 97,378,814.50 × 97,378,814.50
  4. Step 4: Simplify right side
    45,500,760.50x = 9,482,633,513,425,410
  5. Step 5: Solve for x
    x = 9,482,633,513,425,410/45,500,760.50
  6. Step 6: Final answer
    x = 208,406,044.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.