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Finding the Third Proportional to 77,042,284.31 and 170,695,927.13

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Solution

The third proportional to 77,042,284.31 and 170,695,927.13 is: 378,196,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042,284.31 : 170,695,927.13 = 170,695,927.13 : x
  2. Step 2: Convert to fraction form
    77,042,284.31/170,695,927.13 = 170,695,927.13/x
  3. Step 3: Cross multiply
    77,042,284.31x = 170,695,927.13 × 170,695,927.13
  4. Step 4: Simplify right side
    77,042,284.31x = 29,137,099,537,063,312
  5. Step 5: Solve for x
    x = 29,137,099,537,063,312/77,042,284.31
  6. Step 6: Final answer
    x = 378,196,204.81

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.