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Finding the Third Proportional to 120,097,249 and 262,216,133

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Solution

The third proportional to 120,097,249 and 262,216,133 is: 572,513,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097,249 : 262,216,133 = 262,216,133 : x
  2. Step 2: Convert to fraction form
    120,097,249/262,216,133 = 262,216,133/x
  3. Step 3: Cross multiply
    120,097,249x = 262,216,133 × 262,216,133
  4. Step 4: Simplify right side
    120,097,249x = 68,757,300,405,473,688
  5. Step 5: Solve for x
    x = 68,757,300,405,473,688/120,097,249
  6. Step 6: Final answer
    x = 572,513,533.64

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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.