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Finding the Third Proportional to 93,897,184 and 200,716,532

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Solution

The third proportional to 93,897,184 and 200,716,532 is: 429,055,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,897,184 : 200,716,532 = 200,716,532 : x
  2. Step 2: Convert to fraction form
    93,897,184/200,716,532 = 200,716,532/x
  3. Step 3: Cross multiply
    93,897,184x = 200,716,532 × 200,716,532
  4. Step 4: Simplify right side
    93,897,184x = 40,287,126,218,107,024
  5. Step 5: Solve for x
    x = 40,287,126,218,107,024/93,897,184
  6. Step 6: Final answer
    x = 429,055,744.83

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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.