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Finding the Third Proportional to 100,140,300 and 214,652,592

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Solution

The third proportional to 100,140,300 and 214,652,592 is: 460,111,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,140,300 : 214,652,592 = 214,652,592 : x
  2. Step 2: Convert to fraction form
    100,140,300/214,652,592 = 214,652,592/x
  3. Step 3: Cross multiply
    100,140,300x = 214,652,592 × 214,652,592
  4. Step 4: Simplify right side
    100,140,300x = 46,075,735,252,318,464
  5. Step 5: Solve for x
    x = 46,075,735,252,318,464/100,140,300
  6. Step 6: Final answer
    x = 460,111,815.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.