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Finding the Third Proportional to 147,445,596 and 245,713,191.19

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Solution

The third proportional to 147,445,596 and 245,713,191.19 is: 409,472,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,445,596 : 245,713,191.19 = 245,713,191.19 : x
  2. Step 2: Convert to fraction form
    147,445,596/245,713,191.19 = 245,713,191.19/x
  3. Step 3: Cross multiply
    147,445,596x = 245,713,191.19 × 245,713,191.19
  4. Step 4: Simplify right side
    147,445,596x = 60,374,972,323,544,928
  5. Step 5: Solve for x
    x = 60,374,972,323,544,928/147,445,596
  6. Step 6: Final answer
    x = 409,472,876.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.