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Finding the Third Proportional to 68,223,784 and 148,401,040

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Solution

The third proportional to 68,223,784 and 148,401,040 is: 322,803,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223,784 : 148,401,040 = 148,401,040 : x
  2. Step 2: Convert to fraction form
    68,223,784/148,401,040 = 148,401,040/x
  3. Step 3: Cross multiply
    68,223,784x = 148,401,040 × 148,401,040
  4. Step 4: Simplify right side
    68,223,784x = 22,022,868,673,081,600
  5. Step 5: Solve for x
    x = 22,022,868,673,081,600/68,223,784
  6. Step 6: Final answer
    x = 322,803,388.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.