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Finding the Third Proportional to 269,031,075.75 and 559,533,570.75

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Solution

The third proportional to 269,031,075.75 and 559,533,570.75 is: 1,163,723,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,031,075.75 : 559,533,570.75 = 559,533,570.75 : x
  2. Step 2: Convert to fraction form
    269,031,075.75/559,533,570.75 = 559,533,570.75/x
  3. Step 3: Cross multiply
    269,031,075.75x = 559,533,570.75 × 559,533,570.75
  4. Step 4: Simplify right side
    269,031,075.75x = 313,077,816,796,245,248
  5. Step 5: Solve for x
    x = 313,077,816,796,245,248/269,031,075.75
  6. Step 6: Final answer
    x = 1,163,723,617.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.