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Finding the Third Proportional to 70,335,088 and 149,960,480

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Solution

The third proportional to 70,335,088 and 149,960,480 is: 319,728,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,335,088 : 149,960,480 = 149,960,480 : x
  2. Step 2: Convert to fraction form
    70,335,088/149,960,480 = 149,960,480/x
  3. Step 3: Cross multiply
    70,335,088x = 149,960,480 × 149,960,480
  4. Step 4: Simplify right side
    70,335,088x = 22,488,145,561,830,400
  5. Step 5: Solve for x
    x = 22,488,145,561,830,400/70,335,088
  6. Step 6: Final answer
    x = 319,728,690.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.