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Finding the Third Proportional to 73,184,243 and 97,565,736

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Solution

The third proportional to 73,184,243 and 97,565,736 is: 130,069,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184,243 : 97,565,736 = 97,565,736 : x
  2. Step 2: Convert to fraction form
    73,184,243/97,565,736 = 97,565,736/x
  3. Step 3: Cross multiply
    73,184,243x = 97,565,736 × 97,565,736
  4. Step 4: Simplify right side
    73,184,243x = 9,519,072,841,221,696
  5. Step 5: Solve for x
    x = 9,519,072,841,221,696/73,184,243
  6. Step 6: Final answer
    x = 130,069,977.51

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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.