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Finding the Third Proportional to 158,432,898 and 242,354,463

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Solution

The third proportional to 158,432,898 and 242,354,463 is: 370,729,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,432,898 : 242,354,463 = 242,354,463 : x
  2. Step 2: Convert to fraction form
    158,432,898/242,354,463 = 242,354,463/x
  3. Step 3: Cross multiply
    158,432,898x = 242,354,463 × 242,354,463
  4. Step 4: Simplify right side
    158,432,898x = 58,735,685,736,018,368
  5. Step 5: Solve for x
    x = 58,735,685,736,018,368/158,432,898
  6. Step 6: Final answer
    x = 370,729,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.