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Finding the Third Proportional to 99,038,121 and 217,208,097

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Solution

The third proportional to 99,038,121 and 217,208,097 is: 476,375,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,038,121 : 217,208,097 = 217,208,097 : x
  2. Step 2: Convert to fraction form
    99,038,121/217,208,097 = 217,208,097/x
  3. Step 3: Cross multiply
    99,038,121x = 217,208,097 × 217,208,097
  4. Step 4: Simplify right side
    99,038,121x = 47,179,357,402,361,408
  5. Step 5: Solve for x
    x = 47,179,357,402,361,408/99,038,121
  6. Step 6: Final answer
    x = 476,375,732.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.