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Finding the Third Proportional to 201,397,342 and 310,992,731

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Solution

The third proportional to 201,397,342 and 310,992,731 is: 480,227,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,342 : 310,992,731 = 310,992,731 : x
  2. Step 2: Convert to fraction form
    201,397,342/310,992,731 = 310,992,731/x
  3. Step 3: Cross multiply
    201,397,342x = 310,992,731 × 310,992,731
  4. Step 4: Simplify right side
    201,397,342x = 96,716,478,734,838,368
  5. Step 5: Solve for x
    x = 96,716,478,734,838,368/201,397,342
  6. Step 6: Final answer
    x = 480,227,185.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.