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Finding the Third Proportional to 161,714,074 and 351,762,164

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Solution

The third proportional to 161,714,074 and 351,762,164 is: 765,156,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714,074 : 351,762,164 = 351,762,164 : x
  2. Step 2: Convert to fraction form
    161,714,074/351,762,164 = 351,762,164/x
  3. Step 3: Cross multiply
    161,714,074x = 351,762,164 × 351,762,164
  4. Step 4: Simplify right side
    161,714,074x = 123,736,620,021,962,896
  5. Step 5: Solve for x
    x = 123,736,620,021,962,896/161,714,074
  6. Step 6: Final answer
    x = 765,156,779.25

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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.