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Finding the Third Proportional to 212,368,299,903 and 455,028,007,806

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Solution

The third proportional to 212,368,299,903 and 455,028,007,806 is: 974,959,483,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,299,903 : 455,028,007,806 = 455,028,007,806 : x
  2. Step 2: Convert to fraction form
    212,368,299,903/455,028,007,806 = 455,028,007,806/x
  3. Step 3: Cross multiply
    212,368,299,903x = 455,028,007,806 × 455,028,007,806
  4. Step 4: Simplify right side
    212,368,299,903x = 207,050,487,887,897,204,621,312
  5. Step 5: Solve for x
    x = 207,050,487,887,897,204,621,312/212,368,299,903
  6. Step 6: Final answer
    x = 974,959,483,041.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.