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Finding the Third Proportional to 157,252,608 and 238,077,576

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Solution

The third proportional to 157,252,608 and 238,077,576 is: 360,445,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,252,608 : 238,077,576 = 238,077,576 : x
  2. Step 2: Convert to fraction form
    157,252,608/238,077,576 = 238,077,576/x
  3. Step 3: Cross multiply
    157,252,608x = 238,077,576 × 238,077,576
  4. Step 4: Simplify right side
    157,252,608x = 56,680,932,194,035,776
  5. Step 5: Solve for x
    x = 56,680,932,194,035,776/157,252,608
  6. Step 6: Final answer
    x = 360,445,101.13

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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.