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Finding the Third Proportional to 136,312,776 and 293,410,782

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Solution

The third proportional to 136,312,776 and 293,410,782 is: 631,561,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,312,776 : 293,410,782 = 293,410,782 : x
  2. Step 2: Convert to fraction form
    136,312,776/293,410,782 = 293,410,782/x
  3. Step 3: Cross multiply
    136,312,776x = 293,410,782 × 293,410,782
  4. Step 4: Simplify right side
    136,312,776x = 86,089,886,993,851,520
  5. Step 5: Solve for x
    x = 86,089,886,993,851,520/136,312,776
  6. Step 6: Final answer
    x = 631,561,395.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.