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Finding the Third Proportional to 157,432,209 and 342,553,251

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Solution

The third proportional to 157,432,209 and 342,553,251 is: 745,354,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,432,209 : 342,553,251 = 342,553,251 : x
  2. Step 2: Convert to fraction form
    157,432,209/342,553,251 = 342,553,251/x
  3. Step 3: Cross multiply
    157,432,209x = 342,553,251 × 342,553,251
  4. Step 4: Simplify right side
    157,432,209x = 117,342,729,770,669,008
  5. Step 5: Solve for x
    x = 117,342,729,770,669,008/157,432,209
  6. Step 6: Final answer
    x = 745,354,019.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.