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Finding the Third Proportional to 65,009,526 and 135,399,892

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Solution

The third proportional to 65,009,526 and 135,399,892 is: 282,006,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,526 : 135,399,892 = 135,399,892 : x
  2. Step 2: Convert to fraction form
    65,009,526/135,399,892 = 135,399,892/x
  3. Step 3: Cross multiply
    65,009,526x = 135,399,892 × 135,399,892
  4. Step 4: Simplify right side
    65,009,526x = 18,333,130,753,611,664
  5. Step 5: Solve for x
    x = 18,333,130,753,611,664/65,009,526
  6. Step 6: Final answer
    x = 282,006,836.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.