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Finding the Third Proportional to 96,744,465 and 210,494,412

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Solution

The third proportional to 96,744,465 and 210,494,412 is: 457,988,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,744,465 : 210,494,412 = 210,494,412 : x
  2. Step 2: Convert to fraction form
    96,744,465/210,494,412 = 210,494,412/x
  3. Step 3: Cross multiply
    96,744,465x = 210,494,412 × 210,494,412
  4. Step 4: Simplify right side
    96,744,465x = 44,307,897,483,225,744
  5. Step 5: Solve for x
    x = 44,307,897,483,225,744/96,744,465
  6. Step 6: Final answer
    x = 457,988,965.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.