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Finding the Third Proportional to 191,665,578 and 312,939,498

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Solution

The third proportional to 191,665,578 and 312,939,498 is: 510,947,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,665,578 : 312,939,498 = 312,939,498 : x
  2. Step 2: Convert to fraction form
    191,665,578/312,939,498 = 312,939,498/x
  3. Step 3: Cross multiply
    191,665,578x = 312,939,498 × 312,939,498
  4. Step 4: Simplify right side
    191,665,578x = 97,931,129,408,492,000
  5. Step 5: Solve for x
    x = 97,931,129,408,492,000/191,665,578
  6. Step 6: Final answer
    x = 510,947,925.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.