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Finding the Third Proportional to 65,009,526.75 and 135,399,893.63

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Solution

The third proportional to 65,009,526.75 and 135,399,893.63 is: 282,006,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,526.75 : 135,399,893.63 = 135,399,893.63 : x
  2. Step 2: Convert to fraction form
    65,009,526.75/135,399,893.63 = 135,399,893.63/x
  3. Step 3: Cross multiply
    65,009,526.75x = 135,399,893.63 × 135,399,893.63
  4. Step 4: Simplify right side
    65,009,526.75x = 18,333,131,193,661,316
  5. Step 5: Solve for x
    x = 18,333,131,193,661,316/65,009,526.75
  6. Step 6: Final answer
    x = 282,006,839.77

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