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Finding the Third Proportional to 157,293,009 and 244,220,953.50

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Solution

The third proportional to 157,293,009 and 244,220,953.50 is: 379,189,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,293,009 : 244,220,953.50 = 244,220,953.50 : x
  2. Step 2: Convert to fraction form
    157,293,009/244,220,953.50 = 244,220,953.50/x
  3. Step 3: Cross multiply
    157,293,009x = 244,220,953.50 × 244,220,953.50
  4. Step 4: Simplify right side
    157,293,009x = 59,643,874,128,449,160
  5. Step 5: Solve for x
    x = 59,643,874,128,449,160/157,293,009
  6. Step 6: Final answer
    x = 379,189,606.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.