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Finding the Third Proportional to 270,564,313.50 and 418,271,389.50

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Solution

The third proportional to 270,564,313.50 and 418,271,389.50 is: 646,615,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,564,313.50 : 418,271,389.50 = 418,271,389.50 : x
  2. Step 2: Convert to fraction form
    270,564,313.50/418,271,389.50 = 418,271,389.50/x
  3. Step 3: Cross multiply
    270,564,313.50x = 418,271,389.50 × 418,271,389.50
  4. Step 4: Simplify right side
    270,564,313.50x = 174,950,955,274,260,704
  5. Step 5: Solve for x
    x = 174,950,955,274,260,704/270,564,313.50
  6. Step 6: Final answer
    x = 646,615,043.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.