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Finding the Third Proportional to 78,029,314.88 and 169,794,964.13

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Solution

The third proportional to 78,029,314.88 and 169,794,964.13 is: 369,480,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,029,314.88 : 169,794,964.13 = 169,794,964.13 : x
  2. Step 2: Convert to fraction form
    78,029,314.88/169,794,964.13 = 169,794,964.13/x
  3. Step 3: Cross multiply
    78,029,314.88x = 169,794,964.13 × 169,794,964.13
  4. Step 4: Simplify right side
    78,029,314.88x = 28,830,329,842,210,036
  5. Step 5: Solve for x
    x = 28,830,329,842,210,036/78,029,314.88
  6. Step 6: Final answer
    x = 369,480,750.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.