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Finding the Third Proportional to 154,966,320 and 337,172,101.50

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Solution

The third proportional to 154,966,320 and 337,172,101.50 is: 733,611,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,966,320 : 337,172,101.50 = 337,172,101.50 : x
  2. Step 2: Convert to fraction form
    154,966,320/337,172,101.50 = 337,172,101.50/x
  3. Step 3: Cross multiply
    154,966,320x = 337,172,101.50 × 337,172,101.50
  4. Step 4: Simplify right side
    154,966,320x = 113,685,026,029,926,304
  5. Step 5: Solve for x
    x = 113,685,026,029,926,304/154,966,320
  6. Step 6: Final answer
    x = 733,611,187.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.