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Finding the Third Proportional to 65,663,136 and 142,541,136

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Solution

The third proportional to 65,663,136 and 142,541,136 is: 309,427,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,663,136 : 142,541,136 = 142,541,136 : x
  2. Step 2: Convert to fraction form
    65,663,136/142,541,136 = 142,541,136/x
  3. Step 3: Cross multiply
    65,663,136x = 142,541,136 × 142,541,136
  4. Step 4: Simplify right side
    65,663,136x = 20,317,975,452,170,496
  5. Step 5: Solve for x
    x = 20,317,975,452,170,496/65,663,136
  6. Step 6: Final answer
    x = 309,427,430.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.