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Finding the Third Proportional to 321,857,248 and 695,168,302

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Solution

The third proportional to 321,857,248 and 695,168,302 is: 1,501,469,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857,248 : 695,168,302 = 695,168,302 : x
  2. Step 2: Convert to fraction form
    321,857,248/695,168,302 = 695,168,302/x
  3. Step 3: Cross multiply
    321,857,248x = 695,168,302 × 695,168,302
  4. Step 4: Simplify right side
    321,857,248x = 483,258,968,105,563,200
  5. Step 5: Solve for x
    x = 483,258,968,105,563,200/321,857,248
  6. Step 6: Final answer
    x = 1,501,469,894.21

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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.