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Finding the Third Proportional to 240,461,085 and 525,194,151

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Solution

The third proportional to 240,461,085 and 525,194,151 is: 1,147,083,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,461,085 : 525,194,151 = 525,194,151 : x
  2. Step 2: Convert to fraction form
    240,461,085/525,194,151 = 525,194,151/x
  3. Step 3: Cross multiply
    240,461,085x = 525,194,151 × 525,194,151
  4. Step 4: Simplify right side
    240,461,085x = 275,828,896,244,610,816
  5. Step 5: Solve for x
    x = 275,828,896,244,610,816/240,461,085
  6. Step 6: Final answer
    x = 1,147,083,305.58

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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.