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Finding the Third Proportional to 45,238,016 and 97,650,688

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Solution

The third proportional to 45,238,016 and 97,650,688 is: 210,788,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238,016 : 97,650,688 = 97,650,688 : x
  2. Step 2: Convert to fraction form
    45,238,016/97,650,688 = 97,650,688/x
  3. Step 3: Cross multiply
    45,238,016x = 97,650,688 × 97,650,688
  4. Step 4: Simplify right side
    45,238,016x = 9,535,656,866,873,344
  5. Step 5: Solve for x
    x = 9,535,656,866,873,344/45,238,016
  6. Step 6: Final answer
    x = 210,788,573.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.