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Finding the Third Proportional to 136,311,807 and 293,408,865

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Solution

The third proportional to 136,311,807 and 293,408,865 is: 631,557,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311,807 : 293,408,865 = 293,408,865 : x
  2. Step 2: Convert to fraction form
    136,311,807/293,408,865 = 293,408,865/x
  3. Step 3: Cross multiply
    136,311,807x = 293,408,865 × 293,408,865
  4. Step 4: Simplify right side
    136,311,807x = 86,088,762,060,588,224
  5. Step 5: Solve for x
    x = 86,088,762,060,588,224/136,311,807
  6. Step 6: Final answer
    x = 631,557,632.13

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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.