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Finding the Third Proportional to 102,136,605.75 and 162,598,833

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Solution

The third proportional to 102,136,605.75 and 162,598,833 is: 258,853,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136,605.75 : 162,598,833 = 162,598,833 : x
  2. Step 2: Convert to fraction form
    102,136,605.75/162,598,833 = 162,598,833/x
  3. Step 3: Cross multiply
    102,136,605.75x = 162,598,833 × 162,598,833
  4. Step 4: Simplify right side
    102,136,605.75x = 26,438,380,492,961,888
  5. Step 5: Solve for x
    x = 26,438,380,492,961,888/102,136,605.75
  6. Step 6: Final answer
    x = 258,853,133.98

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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.