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Finding the Third Proportional to 71,633,089,266.75 and 153,328,925,295

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Solution

The third proportional to 71,633,089,266.75 and 153,328,925,295 is: 328,196,920,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633,089,266.75 : 153,328,925,295 = 153,328,925,295 : x
  2. Step 2: Convert to fraction form
    71,633,089,266.75/153,328,925,295 = 153,328,925,295/x
  3. Step 3: Cross multiply
    71,633,089,266.75x = 153,328,925,295 × 153,328,925,295
  4. Step 4: Simplify right side
    71,633,089,266.75x = 23,509,759,332,119,692,181,504
  5. Step 5: Solve for x
    x = 23,509,759,332,119,692,181,504/71,633,089,266.75
  6. Step 6: Final answer
    x = 328,196,920,903.04

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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.