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Finding the Third Proportional to 207,458,439 and 423,250,075.50

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Solution

The third proportional to 207,458,439 and 423,250,075.50 is: 863,501,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,458,439 : 423,250,075.50 = 423,250,075.50 : x
  2. Step 2: Convert to fraction form
    207,458,439/423,250,075.50 = 423,250,075.50/x
  3. Step 3: Cross multiply
    207,458,439x = 423,250,075.50 × 423,250,075.50
  4. Step 4: Simplify right side
    207,458,439x = 179,140,626,410,755,712
  5. Step 5: Solve for x
    x = 179,140,626,410,755,712/207,458,439
  6. Step 6: Final answer
    x = 863,501,274.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.