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Finding the Third Proportional to 113,805,650 and 176,546,307

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Solution

The third proportional to 113,805,650 and 176,546,307 is: 273,875,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,805,650 : 176,546,307 = 176,546,307 : x
  2. Step 2: Convert to fraction form
    113,805,650/176,546,307 = 176,546,307/x
  3. Step 3: Cross multiply
    113,805,650x = 176,546,307 × 176,546,307
  4. Step 4: Simplify right side
    113,805,650x = 31,168,598,515,338,248
  5. Step 5: Solve for x
    x = 31,168,598,515,338,248/113,805,650
  6. Step 6: Final answer
    x = 273,875,668.87

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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.