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Finding the Third Proportional to 151,539,804 and 327,329,057

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Solution

The third proportional to 151,539,804 and 327,329,057 is: 707,037,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,539,804 : 327,329,057 = 327,329,057 : x
  2. Step 2: Convert to fraction form
    151,539,804/327,329,057 = 327,329,057/x
  3. Step 3: Cross multiply
    151,539,804x = 327,329,057 × 327,329,057
  4. Step 4: Simplify right side
    151,539,804x = 107,144,311,556,509,248
  5. Step 5: Solve for x
    x = 107,144,311,556,509,248/151,539,804
  6. Step 6: Final answer
    x = 707,037,416.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.