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Finding the Third Proportional to 141,299,391,332 and 286,750,793,416

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Solution

The third proportional to 141,299,391,332 and 286,750,793,416 is: 581,927,613,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,299,391,332 : 286,750,793,416 = 286,750,793,416 : x
  2. Step 2: Convert to fraction form
    141,299,391,332/286,750,793,416 = 286,750,793,416/x
  3. Step 3: Cross multiply
    141,299,391,332x = 286,750,793,416 × 286,750,793,416
  4. Step 4: Simplify right side
    141,299,391,332x = 82,226,017,524,705,505,837,056
  5. Step 5: Solve for x
    x = 82,226,017,524,705,505,837,056/141,299,391,332
  6. Step 6: Final answer
    x = 581,927,613,060.31

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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.