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Finding the Third Proportional to 73,184,238 and 97,565,729

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Solution

The third proportional to 73,184,238 and 97,565,729 is: 130,069,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184,238 : 97,565,729 = 97,565,729 : x
  2. Step 2: Convert to fraction form
    73,184,238/97,565,729 = 97,565,729/x
  3. Step 3: Cross multiply
    73,184,238x = 97,565,729 × 97,565,729
  4. Step 4: Simplify right side
    73,184,238x = 9,519,071,475,301,440
  5. Step 5: Solve for x
    x = 9,519,071,475,301,440/73,184,238
  6. Step 6: Final answer
    x = 130,069,967.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.