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Finding the Third Proportional to 142,047,814,308 and 309,101,765,808

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Solution

The third proportional to 142,047,814,308 and 309,101,765,808 is: 672,617,893,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047,814,308 : 309,101,765,808 = 309,101,765,808 : x
  2. Step 2: Convert to fraction form
    142,047,814,308/309,101,765,808 = 309,101,765,808/x
  3. Step 3: Cross multiply
    142,047,814,308x = 309,101,765,808 × 309,101,765,808
  4. Step 4: Simplify right side
    142,047,814,308x = 95,543,901,625,623,674,617,856
  5. Step 5: Solve for x
    x = 95,543,901,625,623,674,617,856/142,047,814,308
  6. Step 6: Final answer
    x = 672,617,893,426.06

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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.