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Finding the Third Proportional to 216,900,312 and 330,432,848

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Solution

The third proportional to 216,900,312 and 330,432,848 is: 503,391,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,900,312 : 330,432,848 = 330,432,848 : x
  2. Step 2: Convert to fraction form
    216,900,312/330,432,848 = 330,432,848/x
  3. Step 3: Cross multiply
    216,900,312x = 330,432,848 × 330,432,848
  4. Step 4: Simplify right side
    216,900,312x = 109,185,867,037,391,104
  5. Step 5: Solve for x
    x = 109,185,867,037,391,104/216,900,312
  6. Step 6: Final answer
    x = 503,391,931.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.