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Finding the Third Proportional to 153,240,726 and 237,935,442

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Solution

The third proportional to 153,240,726 and 237,935,442 is: 369,440,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,240,726 : 237,935,442 = 237,935,442 : x
  2. Step 2: Convert to fraction form
    153,240,726/237,935,442 = 237,935,442/x
  3. Step 3: Cross multiply
    153,240,726x = 237,935,442 × 237,935,442
  4. Step 4: Simplify right side
    153,240,726x = 56,613,274,559,735,360
  5. Step 5: Solve for x
    x = 56,613,274,559,735,360/153,240,726
  6. Step 6: Final answer
    x = 369,440,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.