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Finding the Third Proportional to 120,925,968.19 and 264,485,683.69

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Solution

The third proportional to 120,925,968.19 and 264,485,683.69 is: 578,475,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,925,968.19 : 264,485,683.69 = 264,485,683.69 : x
  2. Step 2: Convert to fraction form
    120,925,968.19/264,485,683.69 = 264,485,683.69/x
  3. Step 3: Cross multiply
    120,925,968.19x = 264,485,683.69 × 264,485,683.69
  4. Step 4: Simplify right side
    120,925,968.19x = 69,952,676,875,644,304
  5. Step 5: Solve for x
    x = 69,952,676,875,644,304/120,925,968.19
  6. Step 6: Final answer
    x = 578,475,226.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.