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Finding the Third Proportional to 68,460,798.38 and 152,228,409.75

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Solution

The third proportional to 68,460,798.38 and 152,228,409.75 is: 338,492,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460,798.38 : 152,228,409.75 = 152,228,409.75 : x
  2. Step 2: Convert to fraction form
    68,460,798.38/152,228,409.75 = 152,228,409.75/x
  3. Step 3: Cross multiply
    68,460,798.38x = 152,228,409.75 × 152,228,409.75
  4. Step 4: Simplify right side
    68,460,798.38x = 23,173,488,735,013,896
  5. Step 5: Solve for x
    x = 23,173,488,735,013,896/68,460,798.38
  6. Step 6: Final answer
    x = 338,492,820.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.