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Finding the Third Proportional to 68,282,617.50 and 102,426,106.50

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Solution

The third proportional to 68,282,617.50 and 102,426,106.50 is: 153,642,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282,617.50 : 102,426,106.50 = 102,426,106.50 : x
  2. Step 2: Convert to fraction form
    68,282,617.50/102,426,106.50 = 102,426,106.50/x
  3. Step 3: Cross multiply
    68,282,617.50x = 102,426,106.50 × 102,426,106.50
  4. Step 4: Simplify right side
    68,282,617.50x = 10,491,107,292,749,342
  5. Step 5: Solve for x
    x = 10,491,107,292,749,342/68,282,617.50
  6. Step 6: Final answer
    x = 153,642,430.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.