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Finding the Third Proportional to 71,963,781.75 and 105,246,742.50

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Solution

The third proportional to 71,963,781.75 and 105,246,742.50 is: 153,922,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963,781.75 : 105,246,742.50 = 105,246,742.50 : x
  2. Step 2: Convert to fraction form
    71,963,781.75/105,246,742.50 = 105,246,742.50/x
  3. Step 3: Cross multiply
    71,963,781.75x = 105,246,742.50 × 105,246,742.50
  4. Step 4: Simplify right side
    71,963,781.75x = 11,076,876,806,861,306
  5. Step 5: Solve for x
    x = 11,076,876,806,861,306/71,963,781.75
  6. Step 6: Final answer
    x = 153,922,939.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.