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Finding the Third Proportional to 95,656,633,459 and 205,509,019,239

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Solution

The third proportional to 95,656,633,459 and 205,509,019,239 is: 441,516,238,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,656,633,459 : 205,509,019,239 = 205,509,019,239 : x
  2. Step 2: Convert to fraction form
    95,656,633,459/205,509,019,239 = 205,509,019,239/x
  3. Step 3: Cross multiply
    95,656,633,459x = 205,509,019,239 × 205,509,019,239
  4. Step 4: Simplify right side
    95,656,633,459x = 42,233,956,988,575,675,318,272
  5. Step 5: Solve for x
    x = 42,233,956,988,575,675,318,272/95,656,633,459
  6. Step 6: Final answer
    x = 441,516,238,460.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.