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Finding the Third Proportional to 240,461,083 and 525,194,147

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Solution

The third proportional to 240,461,083 and 525,194,147 is: 1,147,083,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,461,083 : 525,194,147 = 525,194,147 : x
  2. Step 2: Convert to fraction form
    240,461,083/525,194,147 = 525,194,147/x
  3. Step 3: Cross multiply
    240,461,083x = 525,194,147 × 525,194,147
  4. Step 4: Simplify right side
    240,461,083x = 275,828,892,043,057,600
  5. Step 5: Solve for x
    x = 275,828,892,043,057,600/240,461,083
  6. Step 6: Final answer
    x = 1,147,083,297.65

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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.