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Finding the Third Proportional to 141,707,019,358 and 312,298,442,374

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Solution

The third proportional to 141,707,019,358 and 312,298,442,374 is: 688,253,253,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,707,019,358 : 312,298,442,374 = 312,298,442,374 : x
  2. Step 2: Convert to fraction form
    141,707,019,358/312,298,442,374 = 312,298,442,374/x
  3. Step 3: Cross multiply
    141,707,019,358x = 312,298,442,374 × 312,298,442,374
  4. Step 4: Simplify right side
    141,707,019,358x = 97,530,317,109,226,597,515,264
  5. Step 5: Solve for x
    x = 97,530,317,109,226,597,515,264/141,707,019,358
  6. Step 6: Final answer
    x = 688,253,253,445.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.