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Finding the Third Proportional to 207,075,020 and 329,656,251

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Solution

The third proportional to 207,075,020 and 329,656,251 is: 524,801,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,075,020 : 329,656,251 = 329,656,251 : x
  2. Step 2: Convert to fraction form
    207,075,020/329,656,251 = 329,656,251/x
  3. Step 3: Cross multiply
    207,075,020x = 329,656,251 × 329,656,251
  4. Step 4: Simplify right side
    207,075,020x = 108,673,243,823,375,008
  5. Step 5: Solve for x
    x = 108,673,243,823,375,008/207,075,020
  6. Step 6: Final answer
    x = 524,801,319.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.