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Finding the Third Proportional to 68,461,688.50 and 152,230,432.50

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Solution

The third proportional to 68,461,688.50 and 152,230,432.50 is: 338,497,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461,688.50 : 152,230,432.50 = 152,230,432.50 : x
  2. Step 2: Convert to fraction form
    68,461,688.50/152,230,432.50 = 152,230,432.50/x
  3. Step 3: Cross multiply
    68,461,688.50x = 152,230,432.50 × 152,230,432.50
  4. Step 4: Simplify right side
    68,461,688.50x = 23,174,104,579,137,056
  5. Step 5: Solve for x
    x = 23,174,104,579,137,056/68,461,688.50
  6. Step 6: Final answer
    x = 338,497,414.93

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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.