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Finding the Third Proportional to 102,018,991 and 218,592,331

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Solution

The third proportional to 102,018,991 and 218,592,331 is: 468,369,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018,991 : 218,592,331 = 218,592,331 : x
  2. Step 2: Convert to fraction form
    102,018,991/218,592,331 = 218,592,331/x
  3. Step 3: Cross multiply
    102,018,991x = 218,592,331 × 218,592,331
  4. Step 4: Simplify right side
    102,018,991x = 47,782,607,172,013,560
  5. Step 5: Solve for x
    x = 47,782,607,172,013,560/102,018,991
  6. Step 6: Final answer
    x = 468,369,729.04

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