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Finding the Third Proportional to 231,126,925.50 and 512,087,931

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Solution

The third proportional to 231,126,925.50 and 512,087,931 is: 1,134,588,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,126,925.50 : 512,087,931 = 512,087,931 : x
  2. Step 2: Convert to fraction form
    231,126,925.50/512,087,931 = 512,087,931/x
  3. Step 3: Cross multiply
    231,126,925.50x = 512,087,931 × 512,087,931
  4. Step 4: Simplify right side
    231,126,925.50x = 262,234,049,075,860,768
  5. Step 5: Solve for x
    x = 262,234,049,075,860,768/231,126,925.50
  6. Step 6: Final answer
    x = 1,134,588,921.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.