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Finding the Third Proportional to 201,397,536 and 310,993,023

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Solution

The third proportional to 201,397,536 and 310,993,023 is: 480,227,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,536 : 310,993,023 = 310,993,023 : x
  2. Step 2: Convert to fraction form
    201,397,536/310,993,023 = 310,993,023/x
  3. Step 3: Cross multiply
    201,397,536x = 310,993,023 × 310,993,023
  4. Step 4: Simplify right side
    201,397,536x = 96,716,660,354,678,528
  5. Step 5: Solve for x
    x = 96,716,660,354,678,528/201,397,536
  6. Step 6: Final answer
    x = 480,227,624.80

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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.