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Finding the Third Proportional to 103,381,490 and 160,057,299

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Solution

The third proportional to 103,381,490 and 160,057,299 is: 247,803,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381,490 : 160,057,299 = 160,057,299 : x
  2. Step 2: Convert to fraction form
    103,381,490/160,057,299 = 160,057,299/x
  3. Step 3: Cross multiply
    103,381,490x = 160,057,299 × 160,057,299
  4. Step 4: Simplify right side
    103,381,490x = 25,618,338,963,175,400
  5. Step 5: Solve for x
    x = 25,618,338,963,175,400/103,381,490
  6. Step 6: Final answer
    x = 247,803,924.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.