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Finding the Third Proportional to 115,438,695.75 and 178,898,193.84

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Solution

The third proportional to 115,438,695.75 and 178,898,193.84 is: 277,242,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438,695.75 : 178,898,193.84 = 178,898,193.84 : x
  2. Step 2: Convert to fraction form
    115,438,695.75/178,898,193.84 = 178,898,193.84/x
  3. Step 3: Cross multiply
    115,438,695.75x = 178,898,193.84 × 178,898,193.84
  4. Step 4: Simplify right side
    115,438,695.75x = 32,004,563,760,555,952
  5. Step 5: Solve for x
    x = 32,004,563,760,555,952/115,438,695.75
  6. Step 6: Final answer
    x = 277,242,943.13

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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.