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Finding the Third Proportional to 100,812,818 and 155,696,341

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Solution

The third proportional to 100,812,818 and 155,696,341 is: 240,459,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,818 : 155,696,341 = 155,696,341 : x
  2. Step 2: Convert to fraction form
    100,812,818/155,696,341 = 155,696,341/x
  3. Step 3: Cross multiply
    100,812,818x = 155,696,341 × 155,696,341
  4. Step 4: Simplify right side
    100,812,818x = 24,241,350,600,788,280
  5. Step 5: Solve for x
    x = 24,241,350,600,788,280/100,812,818
  6. Step 6: Final answer
    x = 240,459,011.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.