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Finding the Third Proportional to 158,802,084 and 242,874,774

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Solution

The third proportional to 158,802,084 and 242,874,774 is: 371,457,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,802,084 : 242,874,774 = 242,874,774 : x
  2. Step 2: Convert to fraction form
    158,802,084/242,874,774 = 242,874,774/x
  3. Step 3: Cross multiply
    158,802,084x = 242,874,774 × 242,874,774
  4. Step 4: Simplify right side
    158,802,084x = 58,988,155,845,551,072
  5. Step 5: Solve for x
    x = 58,988,155,845,551,072/158,802,084
  6. Step 6: Final answer
    x = 371,457,063.78

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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.