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Finding the Third Proportional to 153,698,114 and 237,729,261

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Solution

The third proportional to 153,698,114 and 237,729,261 is: 367,702,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698,114 : 237,729,261 = 237,729,261 : x
  2. Step 2: Convert to fraction form
    153,698,114/237,729,261 = 237,729,261/x
  3. Step 3: Cross multiply
    153,698,114x = 237,729,261 × 237,729,261
  4. Step 4: Simplify right side
    153,698,114x = 56,515,201,535,606,120
  5. Step 5: Solve for x
    x = 56,515,201,535,606,120/153,698,114
  6. Step 6: Final answer
    x = 367,702,635.15

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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.