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Finding the Third Proportional to 193,254,007.50 and 417,144,735

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Solution

The third proportional to 193,254,007.50 and 417,144,735 is: 900,419,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,254,007.50 : 417,144,735 = 417,144,735 : x
  2. Step 2: Convert to fraction form
    193,254,007.50/417,144,735 = 417,144,735/x
  3. Step 3: Cross multiply
    193,254,007.50x = 417,144,735 × 417,144,735
  4. Step 4: Simplify right side
    193,254,007.50x = 174,009,729,938,220,224
  5. Step 5: Solve for x
    x = 174,009,729,938,220,224/193,254,007.50
  6. Step 6: Final answer
    x = 900,419,774.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.