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Finding the Third Proportional to 100,620,417,894 and 215,375,613,132

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Solution

The third proportional to 100,620,417,894 and 215,375,613,132 is: 461,006,381,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620,417,894 : 215,375,613,132 = 215,375,613,132 : x
  2. Step 2: Convert to fraction form
    100,620,417,894/215,375,613,132 = 215,375,613,132/x
  3. Step 3: Cross multiply
    100,620,417,894x = 215,375,613,132 × 215,375,613,132
  4. Step 4: Simplify right side
    100,620,417,894x = 46,386,654,731,984,932,175,872
  5. Step 5: Solve for x
    x = 46,386,654,731,984,932,175,872/100,620,417,894
  6. Step 6: Final answer
    x = 461,006,381,238.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.