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Finding the Third Proportional to 165,969,583 and 243,573,334

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Solution

The third proportional to 165,969,583 and 243,573,334 is: 357,462,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969,583 : 243,573,334 = 243,573,334 : x
  2. Step 2: Convert to fraction form
    165,969,583/243,573,334 = 243,573,334/x
  3. Step 3: Cross multiply
    165,969,583x = 243,573,334 × 243,573,334
  4. Step 4: Simplify right side
    165,969,583x = 59,327,969,035,875,552
  5. Step 5: Solve for x
    x = 59,327,969,035,875,552/165,969,583
  6. Step 6: Final answer
    x = 357,462,903.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.