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Finding the Third Proportional to 103,311,248 and 224,782,030

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Solution

The third proportional to 103,311,248 and 224,782,030 is: 489,075,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,311,248 : 224,782,030 = 224,782,030 : x
  2. Step 2: Convert to fraction form
    103,311,248/224,782,030 = 224,782,030/x
  3. Step 3: Cross multiply
    103,311,248x = 224,782,030 × 224,782,030
  4. Step 4: Simplify right side
    103,311,248x = 50,526,961,010,920,896
  5. Step 5: Solve for x
    x = 50,526,961,010,920,896/103,311,248
  6. Step 6: Final answer
    x = 489,075,119.98

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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.