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Finding the Third Proportional to 72,946,966.39 and 156,319,310.53

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Solution

The third proportional to 72,946,966.39 and 156,319,310.53 is: 334,979,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,966.39 : 156,319,310.53 = 156,319,310.53 : x
  2. Step 2: Convert to fraction form
    72,946,966.39/156,319,310.53 = 156,319,310.53/x
  3. Step 3: Cross multiply
    72,946,966.39x = 156,319,310.53 × 156,319,310.53
  4. Step 4: Simplify right side
    72,946,966.39x = 24,435,726,844,965,368
  5. Step 5: Solve for x
    x = 24,435,726,844,965,368/72,946,966.39
  6. Step 6: Final answer
    x = 334,979,342.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.