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Finding the Third Proportional to 176,498,640 and 272,191,536

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Solution

The third proportional to 176,498,640 and 272,191,536 is: 419,766,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498,640 : 272,191,536 = 272,191,536 : x
  2. Step 2: Convert to fraction form
    176,498,640/272,191,536 = 272,191,536/x
  3. Step 3: Cross multiply
    176,498,640x = 272,191,536 × 272,191,536
  4. Step 4: Simplify right side
    176,498,640x = 74,088,232,270,039,296
  5. Step 5: Solve for x
    x = 74,088,232,270,039,296/176,498,640
  6. Step 6: Final answer
    x = 419,766,590.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.