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Finding the Third Proportional to 89,473,856 and 195,694,528

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Solution

The third proportional to 89,473,856 and 195,694,528 is: 428,017,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,473,856 : 195,694,528 = 195,694,528 : x
  2. Step 2: Convert to fraction form
    89,473,856/195,694,528 = 195,694,528/x
  3. Step 3: Cross multiply
    89,473,856x = 195,694,528 × 195,694,528
  4. Step 4: Simplify right side
    89,473,856x = 38,296,348,289,142,784
  5. Step 5: Solve for x
    x = 38,296,348,289,142,784/89,473,856
  6. Step 6: Final answer
    x = 428,017,188.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.