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Finding the Third Proportional to 103,018,587 and 218,318,070

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Solution

The third proportional to 103,018,587 and 218,318,070 is: 462,661,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,018,587 : 218,318,070 = 218,318,070 : x
  2. Step 2: Convert to fraction form
    103,018,587/218,318,070 = 218,318,070/x
  3. Step 3: Cross multiply
    103,018,587x = 218,318,070 × 218,318,070
  4. Step 4: Simplify right side
    103,018,587x = 47,662,779,688,524,896
  5. Step 5: Solve for x
    x = 47,662,779,688,524,896/103,018,587
  6. Step 6: Final answer
    x = 462,661,943.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.