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Finding the Third Proportional to 149,575,280 and 229,765,864

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Solution

The third proportional to 149,575,280 and 229,765,864 is: 352,948,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,575,280 : 229,765,864 = 229,765,864 : x
  2. Step 2: Convert to fraction form
    149,575,280/229,765,864 = 229,765,864/x
  3. Step 3: Cross multiply
    149,575,280x = 229,765,864 × 229,765,864
  4. Step 4: Simplify right side
    149,575,280x = 52,792,352,259,666,496
  5. Step 5: Solve for x
    x = 52,792,352,259,666,496/149,575,280
  6. Step 6: Final answer
    x = 352,948,376.63

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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.