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Finding the Third Proportional to 240,461,077.50 and 525,194,136

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Solution

The third proportional to 240,461,077.50 and 525,194,136 is: 1,147,083,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,461,077.50 : 525,194,136 = 525,194,136 : x
  2. Step 2: Convert to fraction form
    240,461,077.50/525,194,136 = 525,194,136/x
  3. Step 3: Cross multiply
    240,461,077.50x = 525,194,136 × 525,194,136
  4. Step 4: Simplify right side
    240,461,077.50x = 275,828,880,488,786,496
  5. Step 5: Solve for x
    x = 275,828,880,488,786,496/240,461,077.50
  6. Step 6: Final answer
    x = 1,147,083,275.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.