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Finding the Third Proportional to 138,535,368 and 301,184,258

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Solution

The third proportional to 138,535,368 and 301,184,258 is: 654,792,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,535,368 : 301,184,258 = 301,184,258 : x
  2. Step 2: Convert to fraction form
    138,535,368/301,184,258 = 301,184,258/x
  3. Step 3: Cross multiply
    138,535,368x = 301,184,258 × 301,184,258
  4. Step 4: Simplify right side
    138,535,368x = 90,711,957,267,010,560
  5. Step 5: Solve for x
    x = 90,711,957,267,010,560/138,535,368
  6. Step 6: Final answer
    x = 654,792,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.