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Finding the Third Proportional to 141,299,391,330 and 286,750,793,412

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Solution

The third proportional to 141,299,391,330 and 286,750,793,412 is: 581,927,613,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,299,391,330 : 286,750,793,412 = 286,750,793,412 : x
  2. Step 2: Convert to fraction form
    141,299,391,330/286,750,793,412 = 286,750,793,412/x
  3. Step 3: Cross multiply
    141,299,391,330x = 286,750,793,412 × 286,750,793,412
  4. Step 4: Simplify right side
    141,299,391,330x = 82,226,017,522,411,506,761,728
  5. Step 5: Solve for x
    x = 82,226,017,522,411,506,761,728/141,299,391,330
  6. Step 6: Final answer
    x = 581,927,613,052.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.