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Finding the Third Proportional to 141,977,388 and 212,398,527

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Solution

The third proportional to 141,977,388 and 212,398,527 is: 317,748,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,977,388 : 212,398,527 = 212,398,527 : x
  2. Step 2: Convert to fraction form
    141,977,388/212,398,527 = 212,398,527/x
  3. Step 3: Cross multiply
    141,977,388x = 212,398,527 × 212,398,527
  4. Step 4: Simplify right side
    141,977,388x = 45,113,134,271,769,728
  5. Step 5: Solve for x
    x = 45,113,134,271,769,728/141,977,388
  6. Step 6: Final answer
    x = 317,748,726.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.