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Finding the Third Proportional to 97,978,725 and 161,332,305

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Solution

The third proportional to 97,978,725 and 161,332,305 is: 265,650,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,978,725 : 161,332,305 = 161,332,305 : x
  2. Step 2: Convert to fraction form
    97,978,725/161,332,305 = 161,332,305/x
  3. Step 3: Cross multiply
    97,978,725x = 161,332,305 × 161,332,305
  4. Step 4: Simplify right side
    97,978,725x = 26,028,112,636,613,024
  5. Step 5: Solve for x
    x = 26,028,112,636,613,024/97,978,725
  6. Step 6: Final answer
    x = 265,650,656.68

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.