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Finding the Third Proportional to 141,707,019,337 and 312,298,442,331

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Solution

The third proportional to 141,707,019,337 and 312,298,442,331 is: 688,253,253,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,707,019,337 : 312,298,442,331 = 312,298,442,331 : x
  2. Step 2: Convert to fraction form
    141,707,019,337/312,298,442,331 = 312,298,442,331/x
  3. Step 3: Cross multiply
    141,707,019,337x = 312,298,442,331 × 312,298,442,331
  4. Step 4: Simplify right side
    141,707,019,337x = 97,530,317,082,368,925,499,392
  5. Step 5: Solve for x
    x = 97,530,317,082,368,925,499,392/141,707,019,337
  6. Step 6: Final answer
    x = 688,253,253,358.10

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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.