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Finding the Third Proportional to 49,234,232 and 107,137,840

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Solution

The third proportional to 49,234,232 and 107,137,840 is: 233,140,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234,232 : 107,137,840 = 107,137,840 : x
  2. Step 2: Convert to fraction form
    49,234,232/107,137,840 = 107,137,840/x
  3. Step 3: Cross multiply
    49,234,232x = 107,137,840 × 107,137,840
  4. Step 4: Simplify right side
    49,234,232x = 11,478,516,759,865,600
  5. Step 5: Solve for x
    x = 11,478,516,759,865,600/49,234,232
  6. Step 6: Final answer
    x = 233,140,973.13

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Why These Related Problems?

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