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Finding the Third Proportional to 258,393,916.69 and 567,008,866.13

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Solution

The third proportional to 258,393,916.69 and 567,008,866.13 is: 1,244,220,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,393,916.69 : 567,008,866.13 = 567,008,866.13 : x
  2. Step 2: Convert to fraction form
    258,393,916.69/567,008,866.13 = 567,008,866.13/x
  3. Step 3: Cross multiply
    258,393,916.69x = 567,008,866.13 × 567,008,866.13
  4. Step 4: Simplify right side
    258,393,916.69x = 321,499,054,264,358,144
  5. Step 5: Solve for x
    x = 321,499,054,264,358,144/258,393,916.69
  6. Step 6: Final answer
    x = 1,244,220,678.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.