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Finding the Third Proportional to 314,150,997 and 506,180,943

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Solution

The third proportional to 314,150,997 and 506,180,943 is: 815,592,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,150,997 : 506,180,943 = 506,180,943 : x
  2. Step 2: Convert to fraction form
    314,150,997/506,180,943 = 506,180,943/x
  3. Step 3: Cross multiply
    314,150,997x = 506,180,943 × 506,180,943
  4. Step 4: Simplify right side
    314,150,997x = 256,219,147,056,369,248
  5. Step 5: Solve for x
    x = 256,219,147,056,369,248/314,150,997
  6. Step 6: Final answer
    x = 815,592,340.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.