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Finding the Third Proportional to 212,737,905 and 465,832,107

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Solution

The third proportional to 212,737,905 and 465,832,107 is: 1,020,032,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,737,905 : 465,832,107 = 465,832,107 : x
  2. Step 2: Convert to fraction form
    212,737,905/465,832,107 = 465,832,107/x
  3. Step 3: Cross multiply
    212,737,905x = 465,832,107 × 465,832,107
  4. Step 4: Simplify right side
    212,737,905x = 216,999,551,912,059,456
  5. Step 5: Solve for x
    x = 216,999,551,912,059,456/212,737,905
  6. Step 6: Final answer
    x = 1,020,032,381.69

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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.