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Finding the Third Proportional to 96,259,023 and 210,157,308

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Solution

The third proportional to 96,259,023 and 210,157,308 is: 458,825,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,259,023 : 210,157,308 = 210,157,308 : x
  2. Step 2: Convert to fraction form
    96,259,023/210,157,308 = 210,157,308/x
  3. Step 3: Cross multiply
    96,259,023x = 210,157,308 × 210,157,308
  4. Step 4: Simplify right side
    96,259,023x = 44,166,094,105,806,864
  5. Step 5: Solve for x
    x = 44,166,094,105,806,864/96,259,023
  6. Step 6: Final answer
    x = 458,825,497.39

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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.