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Finding the Third Proportional to 98,565,639.75 and 153,224,672.63

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Solution

The third proportional to 98,565,639.75 and 153,224,672.63 is: 238,194,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,565,639.75 : 153,224,672.63 = 153,224,672.63 : x
  2. Step 2: Convert to fraction form
    98,565,639.75/153,224,672.63 = 153,224,672.63/x
  3. Step 3: Cross multiply
    98,565,639.75x = 153,224,672.63 × 153,224,672.63
  4. Step 4: Simplify right side
    98,565,639.75x = 23,477,800,301,038,424
  5. Step 5: Solve for x
    x = 23,477,800,301,038,424/98,565,639.75
  6. Step 6: Final answer
    x = 238,194,571.26

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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.