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Finding the Third Proportional to 154,149,444 and 316,470,807

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Solution

The third proportional to 154,149,444 and 316,470,807 is: 649,718,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,149,444 : 316,470,807 = 316,470,807 : x
  2. Step 2: Convert to fraction form
    154,149,444/316,470,807 = 316,470,807/x
  3. Step 3: Cross multiply
    154,149,444x = 316,470,807 × 316,470,807
  4. Step 4: Simplify right side
    154,149,444x = 100,153,771,683,231,248
  5. Step 5: Solve for x
    x = 100,153,771,683,231,248/154,149,444
  6. Step 6: Final answer
    x = 649,718,669.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.