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Finding the Third Proportional to 240,461,070 and 525,194,121

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Solution

The third proportional to 240,461,070 and 525,194,121 is: 1,147,083,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,461,070 : 525,194,121 = 525,194,121 : x
  2. Step 2: Convert to fraction form
    240,461,070/525,194,121 = 525,194,121/x
  3. Step 3: Cross multiply
    240,461,070x = 525,194,121 × 525,194,121
  4. Step 4: Simplify right side
    240,461,070x = 275,828,864,732,962,656
  5. Step 5: Solve for x
    x = 275,828,864,732,962,656/240,461,070
  6. Step 6: Final answer
    x = 1,147,083,246.09

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