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Finding the Third Proportional to 203,299,182 and 314,130,942

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Solution

The third proportional to 203,299,182 and 314,130,942 is: 485,384,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,299,182 : 314,130,942 = 314,130,942 : x
  2. Step 2: Convert to fraction form
    203,299,182/314,130,942 = 314,130,942/x
  3. Step 3: Cross multiply
    203,299,182x = 314,130,942 × 314,130,942
  4. Step 4: Simplify right side
    203,299,182x = 98,678,248,721,807,360
  5. Step 5: Solve for x
    x = 98,678,248,721,807,360/203,299,182
  6. Step 6: Final answer
    x = 485,384,386.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.