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Finding the Third Proportional to 82,156,925.25 and 127,946,425.13

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Solution

The third proportional to 82,156,925.25 and 127,946,425.13 is: 199,256,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156,925.25 : 127,946,425.13 = 127,946,425.13 : x
  2. Step 2: Convert to fraction form
    82,156,925.25/127,946,425.13 = 127,946,425.13/x
  3. Step 3: Cross multiply
    82,156,925.25x = 127,946,425.13 × 127,946,425.13
  4. Step 4: Simplify right side
    82,156,925.25x = 16,370,287,702,267,232
  5. Step 5: Solve for x
    x = 16,370,287,702,267,232/82,156,925.25
  6. Step 6: Final answer
    x = 199,256,333.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.