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Finding the Third Proportional to 241,804,971 and 524,663,755.50

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Solution

The third proportional to 241,804,971 and 524,663,755.50 is: 1,138,405,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,804,971 : 524,663,755.50 = 524,663,755.50 : x
  2. Step 2: Convert to fraction form
    241,804,971/524,663,755.50 = 524,663,755.50/x
  3. Step 3: Cross multiply
    241,804,971x = 524,663,755.50 × 524,663,755.50
  4. Step 4: Simplify right side
    241,804,971x = 275,272,056,335,363,776
  5. Step 5: Solve for x
    x = 275,272,056,335,363,776/241,804,971
  6. Step 6: Final answer
    x = 1,138,405,282.56

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Why These Related Problems?

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