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Finding the Third Proportional to 66,602,134.50 and 160,452,024

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Solution

The third proportional to 66,602,134.50 and 160,452,024 is: 386,546,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,602,134.50 : 160,452,024 = 160,452,024 : x
  2. Step 2: Convert to fraction form
    66,602,134.50/160,452,024 = 160,452,024/x
  3. Step 3: Cross multiply
    66,602,134.50x = 160,452,024 × 160,452,024
  4. Step 4: Simplify right side
    66,602,134.50x = 25,744,852,005,696,576
  5. Step 5: Solve for x
    x = 25,744,852,005,696,576/66,602,134.50
  6. Step 6: Final answer
    x = 386,546,950.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.