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Finding the Third Proportional to 149,574,730 and 229,765,099

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Solution

The third proportional to 149,574,730 and 229,765,099 is: 352,947,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574,730 : 229,765,099 = 229,765,099 : x
  2. Step 2: Convert to fraction form
    149,574,730/229,765,099 = 229,765,099/x
  3. Step 3: Cross multiply
    149,574,730x = 229,765,099 × 229,765,099
  4. Step 4: Simplify right side
    149,574,730x = 52,792,000,718,479,800
  5. Step 5: Solve for x
    x = 52,792,000,718,479,800/149,574,730
  6. Step 6: Final answer
    x = 352,947,324.18

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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.