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Finding the Third Proportional to 68,310,237.50 and 105,657,405.75

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Solution

The third proportional to 68,310,237.50 and 105,657,405.75 is: 163,423,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310,237.50 : 105,657,405.75 = 105,657,405.75 : x
  2. Step 2: Convert to fraction form
    68,310,237.50/105,657,405.75 = 105,657,405.75/x
  3. Step 3: Cross multiply
    68,310,237.50x = 105,657,405.75 × 105,657,405.75
  4. Step 4: Simplify right side
    68,310,237.50x = 11,163,487,389,820,134
  5. Step 5: Solve for x
    x = 11,163,487,389,820,134/68,310,237.50
  6. Step 6: Final answer
    x = 163,423,343.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.