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Finding the Third Proportional to 68,569,354.50 and 146,438,106.75

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Solution

The third proportional to 68,569,354.50 and 146,438,106.75 is: 312,736,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,354.50 : 146,438,106.75 = 146,438,106.75 : x
  2. Step 2: Convert to fraction form
    68,569,354.50/146,438,106.75 = 146,438,106.75/x
  3. Step 3: Cross multiply
    68,569,354.50x = 146,438,106.75 × 146,438,106.75
  4. Step 4: Simplify right side
    68,569,354.50x = 21,444,119,108,524,396
  5. Step 5: Solve for x
    x = 21,444,119,108,524,396/68,569,354.50
  6. Step 6: Final answer
    x = 312,736,196.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.