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Finding the Third Proportional to 75,717,833.63 and 164,702,214

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Solution

The third proportional to 75,717,833.63 and 164,702,214 is: 358,261,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,833.63 : 164,702,214 = 164,702,214 : x
  2. Step 2: Convert to fraction form
    75,717,833.63/164,702,214 = 164,702,214/x
  3. Step 3: Cross multiply
    75,717,833.63x = 164,702,214 × 164,702,214
  4. Step 4: Simplify right side
    75,717,833.63x = 27,126,819,296,501,796
  5. Step 5: Solve for x
    x = 27,126,819,296,501,796/75,717,833.63
  6. Step 6: Final answer
    x = 358,261,957.56

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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.