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Finding the Third Proportional to 66,934.69 and 139,417.88

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Solution

The third proportional to 66,934.69 and 139,417.88 is: 290,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,934.69 : 139,417.88 = 139,417.88 : x
  2. Step 2: Convert to fraction form
    66,934.69/139,417.88 = 139,417.88/x
  3. Step 3: Cross multiply
    66,934.69x = 139,417.88 × 139,417.88
  4. Step 4: Simplify right side
    66,934.69x = 19,437,343,869.52
  5. Step 5: Solve for x
    x = 19,437,343,869.52/66,934.69
  6. Step 6: Final answer
    x = 290,392.69

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.