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Finding the Third Proportional to 109,460,032.50 and 237,972,723

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Solution

The third proportional to 109,460,032.50 and 237,972,723 is: 517,367,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460,032.50 : 237,972,723 = 237,972,723 : x
  2. Step 2: Convert to fraction form
    109,460,032.50/237,972,723 = 237,972,723/x
  3. Step 3: Cross multiply
    109,460,032.50x = 237,972,723 × 237,972,723
  4. Step 4: Simplify right side
    109,460,032.50x = 56,631,016,892,034,728
  5. Step 5: Solve for x
    x = 56,631,016,892,034,728/109,460,032.50
  6. Step 6: Final answer
    x = 517,367,075.44

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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.