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Finding the Third Proportional to 158,342,880 and 245,176,320

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Solution

The third proportional to 158,342,880 and 245,176,320 is: 379,628,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,342,880 : 245,176,320 = 245,176,320 : x
  2. Step 2: Convert to fraction form
    158,342,880/245,176,320 = 245,176,320/x
  3. Step 3: Cross multiply
    158,342,880x = 245,176,320 × 245,176,320
  4. Step 4: Simplify right side
    158,342,880x = 60,111,427,888,742,400
  5. Step 5: Solve for x
    x = 60,111,427,888,742,400/158,342,880
  6. Step 6: Final answer
    x = 379,628,233.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.