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Finding the Third Proportional to 68,439,613.50 and 152,180,896.50

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Solution

The third proportional to 68,439,613.50 and 152,180,896.50 is: 338,386,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,439,613.50 : 152,180,896.50 = 152,180,896.50 : x
  2. Step 2: Convert to fraction form
    68,439,613.50/152,180,896.50 = 152,180,896.50/x
  3. Step 3: Cross multiply
    68,439,613.50x = 152,180,896.50 × 152,180,896.50
  4. Step 4: Simplify right side
    68,439,613.50x = 23,159,025,259,543,712
  5. Step 5: Solve for x
    x = 23,159,025,259,543,712/68,439,613.50
  6. Step 6: Final answer
    x = 338,386,266.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.