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Finding the Third Proportional to 115,810,008 and 176,428,536

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Solution

The third proportional to 115,810,008 and 176,428,536 is: 268,776,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,810,008 : 176,428,536 = 176,428,536 : x
  2. Step 2: Convert to fraction form
    115,810,008/176,428,536 = 176,428,536/x
  3. Step 3: Cross multiply
    115,810,008x = 176,428,536 × 176,428,536
  4. Step 4: Simplify right side
    115,810,008x = 31,127,028,315,103,296
  5. Step 5: Solve for x
    x = 31,127,028,315,103,296/115,810,008
  6. Step 6: Final answer
    x = 268,776,670.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.