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Finding the Third Proportional to 102,142,944 and 162,608,184

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Solution

The third proportional to 102,142,944 and 162,608,184 is: 258,866,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142,944 : 162,608,184 = 162,608,184 : x
  2. Step 2: Convert to fraction form
    102,142,944/162,608,184 = 162,608,184/x
  3. Step 3: Cross multiply
    102,142,944x = 162,608,184 × 162,608,184
  4. Step 4: Simplify right side
    102,142,944x = 26,441,421,503,777,856
  5. Step 5: Solve for x
    x = 26,441,421,503,777,856/102,142,944
  6. Step 6: Final answer
    x = 258,866,843.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.