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Finding the Third Proportional to 81,638,709 and 176,264,552.63

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Solution

The third proportional to 81,638,709 and 176,264,552.63 is: 380,569,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638,709 : 176,264,552.63 = 176,264,552.63 : x
  2. Step 2: Convert to fraction form
    81,638,709/176,264,552.63 = 176,264,552.63/x
  3. Step 3: Cross multiply
    81,638,709x = 176,264,552.63 × 176,264,552.63
  4. Step 4: Simplify right side
    81,638,709x = 31,069,192,512,091,396
  5. Step 5: Solve for x
    x = 31,069,192,512,091,396/81,638,709
  6. Step 6: Final answer
    x = 380,569,375.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.