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Finding the Third Proportional to 96,023,184 and 210,259,696

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Solution

The third proportional to 96,023,184 and 210,259,696 is: 460,400,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,023,184 : 210,259,696 = 210,259,696 : x
  2. Step 2: Convert to fraction form
    96,023,184/210,259,696 = 210,259,696/x
  3. Step 3: Cross multiply
    96,023,184x = 210,259,696 × 210,259,696
  4. Step 4: Simplify right side
    96,023,184x = 44,209,139,762,012,416
  5. Step 5: Solve for x
    x = 44,209,139,762,012,416/96,023,184
  6. Step 6: Final answer
    x = 460,400,685.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.