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Finding the Third Proportional to 207,075,018 and 329,656,248

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Solution

The third proportional to 207,075,018 and 329,656,248 is: 524,801,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,075,018 : 329,656,248 = 329,656,248 : x
  2. Step 2: Convert to fraction form
    207,075,018/329,656,248 = 329,656,248/x
  3. Step 3: Cross multiply
    207,075,018x = 329,656,248 × 329,656,248
  4. Step 4: Simplify right side
    207,075,018x = 108,673,241,845,437,504
  5. Step 5: Solve for x
    x = 108,673,241,845,437,504/207,075,018
  6. Step 6: Final answer
    x = 524,801,315.46

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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.