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Finding the Third Proportional to 182,886,149.25 and 278,616,798

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Solution

The third proportional to 182,886,149.25 and 278,616,798 is: 424,457,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886,149.25 : 278,616,798 = 278,616,798 : x
  2. Step 2: Convert to fraction form
    182,886,149.25/278,616,798 = 278,616,798/x
  3. Step 3: Cross multiply
    182,886,149.25x = 278,616,798 × 278,616,798
  4. Step 4: Simplify right side
    182,886,149.25x = 77,627,320,127,772,800
  5. Step 5: Solve for x
    x = 77,627,320,127,772,800/182,886,149.25
  6. Step 6: Final answer
    x = 424,457,075.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.