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Finding the Third Proportional to 108,711,423 and 164,649,564

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Solution

The third proportional to 108,711,423 and 164,649,564 is: 249,371,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,711,423 : 164,649,564 = 164,649,564 : x
  2. Step 2: Convert to fraction form
    108,711,423/164,649,564 = 164,649,564/x
  3. Step 3: Cross multiply
    108,711,423x = 164,649,564 × 164,649,564
  4. Step 4: Simplify right side
    108,711,423x = 27,109,478,925,390,096
  5. Step 5: Solve for x
    x = 27,109,478,925,390,096/108,711,423
  6. Step 6: Final answer
    x = 249,371,024.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.