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Finding the Third Proportional to 200,710,510 and 282,648,875

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Solution

The third proportional to 200,710,510 and 282,648,875 is: 398,037,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,710,510 : 282,648,875 = 282,648,875 : x
  2. Step 2: Convert to fraction form
    200,710,510/282,648,875 = 282,648,875/x
  3. Step 3: Cross multiply
    200,710,510x = 282,648,875 × 282,648,875
  4. Step 4: Simplify right side
    200,710,510x = 79,890,386,538,765,632
  5. Step 5: Solve for x
    x = 79,890,386,538,765,632/200,710,510
  6. Step 6: Final answer
    x = 398,037,883.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.