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Finding the Third Proportional to 201,397,982 and 310,993,712

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Solution

The third proportional to 201,397,982 and 310,993,712 is: 480,228,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,982 : 310,993,712 = 310,993,712 : x
  2. Step 2: Convert to fraction form
    201,397,982/310,993,712 = 310,993,712/x
  3. Step 3: Cross multiply
    201,397,982x = 310,993,712 × 310,993,712
  4. Step 4: Simplify right side
    201,397,982x = 96,717,088,903,538,944
  5. Step 5: Solve for x
    x = 96,717,088,903,538,944/201,397,982
  6. Step 6: Final answer
    x = 480,228,689.20

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Why These Related Problems?

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