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Finding the Third Proportional to 96,023,186 and 210,259,700

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Solution

The third proportional to 96,023,186 and 210,259,700 is: 460,400,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,023,186 : 210,259,700 = 210,259,700 : x
  2. Step 2: Convert to fraction form
    96,023,186/210,259,700 = 210,259,700/x
  3. Step 3: Cross multiply
    96,023,186x = 210,259,700 × 210,259,700
  4. Step 4: Simplify right side
    96,023,186x = 44,209,141,444,090,000
  5. Step 5: Solve for x
    x = 44,209,141,444,090,000/96,023,186
  6. Step 6: Final answer
    x = 460,400,693.68

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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.