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Finding the Third Proportional to 102,142,946 and 162,608,187

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Solution

The third proportional to 102,142,946 and 162,608,187 is: 258,866,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142,946 : 162,608,187 = 162,608,187 : x
  2. Step 2: Convert to fraction form
    102,142,946/162,608,187 = 162,608,187/x
  3. Step 3: Cross multiply
    102,142,946x = 162,608,187 × 162,608,187
  4. Step 4: Simplify right side
    102,142,946x = 26,441,422,479,426,968
  5. Step 5: Solve for x
    x = 26,441,422,479,426,968/102,142,946
  6. Step 6: Final answer
    x = 258,866,848.03

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Why These Related Problems?

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