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Finding the Third Proportional to 201,397,842 and 310,993,506

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Solution

The third proportional to 201,397,842 and 310,993,506 is: 480,228,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,842 : 310,993,506 = 310,993,506 : x
  2. Step 2: Convert to fraction form
    201,397,842/310,993,506 = 310,993,506/x
  3. Step 3: Cross multiply
    201,397,842x = 310,993,506 × 310,993,506
  4. Step 4: Simplify right side
    201,397,842x = 96,716,960,774,172,032
  5. Step 5: Solve for x
    x = 96,716,960,774,172,032/201,397,842
  6. Step 6: Final answer
    x = 480,228,386.83

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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.