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Finding the Third Proportional to 157,252,612 and 238,077,582

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Solution

The third proportional to 157,252,612 and 238,077,582 is: 360,445,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,252,612 : 238,077,582 = 238,077,582 : x
  2. Step 2: Convert to fraction form
    157,252,612/238,077,582 = 238,077,582/x
  3. Step 3: Cross multiply
    157,252,612x = 238,077,582 × 238,077,582
  4. Step 4: Simplify right side
    157,252,612x = 56,680,935,050,966,720
  5. Step 5: Solve for x
    x = 56,680,935,050,966,720/157,252,612
  6. Step 6: Final answer
    x = 360,445,110.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.