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Finding the Third Proportional to 102,103,644 and 218,559,516

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Solution

The third proportional to 102,103,644 and 218,559,516 is: 467,840,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103,644 : 218,559,516 = 218,559,516 : x
  2. Step 2: Convert to fraction form
    102,103,644/218,559,516 = 218,559,516/x
  3. Step 3: Cross multiply
    102,103,644x = 218,559,516 × 218,559,516
  4. Step 4: Simplify right side
    102,103,644x = 47,768,262,034,154,256
  5. Step 5: Solve for x
    x = 47,768,262,034,154,256/102,103,644
  6. Step 6: Final answer
    x = 467,840,913.04

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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.