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Finding the Third Proportional to 153,214,421 and 243,912,284

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Solution

The third proportional to 153,214,421 and 243,912,284 is: 388,300,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,214,421 : 243,912,284 = 243,912,284 : x
  2. Step 2: Convert to fraction form
    153,214,421/243,912,284 = 243,912,284/x
  3. Step 3: Cross multiply
    153,214,421x = 243,912,284 × 243,912,284
  4. Step 4: Simplify right side
    153,214,421x = 59,493,202,286,096,656
  5. Step 5: Solve for x
    x = 59,493,202,286,096,656/153,214,421
  6. Step 6: Final answer
    x = 388,300,278.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.