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Finding the Third Proportional to 65,455,840.13 and 97,616,233.69

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Solution

The third proportional to 65,455,840.13 and 97,616,233.69 is: 145,577,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455,840.13 : 97,616,233.69 = 97,616,233.69 : x
  2. Step 2: Convert to fraction form
    65,455,840.13/97,616,233.69 = 97,616,233.69/x
  3. Step 3: Cross multiply
    65,455,840.13x = 97,616,233.69 × 97,616,233.69
  4. Step 4: Simplify right side
    65,455,840.13x = 9,528,929,079,332,610
  5. Step 5: Solve for x
    x = 9,528,929,079,332,610/65,455,840.13
  6. Step 6: Final answer
    x = 145,577,981.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.