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Finding the Third Proportional to 102,765,242 and 242,507,581

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Solution

The third proportional to 102,765,242 and 242,507,581 is: 572,274,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765,242 : 242,507,581 = 242,507,581 : x
  2. Step 2: Convert to fraction form
    102,765,242/242,507,581 = 242,507,581/x
  3. Step 3: Cross multiply
    102,765,242x = 242,507,581 × 242,507,581
  4. Step 4: Simplify right side
    102,765,242x = 58,809,926,842,471,560
  5. Step 5: Solve for x
    x = 58,809,926,842,471,560/102,765,242
  6. Step 6: Final answer
    x = 572,274,493.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.