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Finding the Third Proportional to 149,184,708 and 313,830,480

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Solution

The third proportional to 149,184,708 and 313,830,480 is: 660,185,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,184,708 : 313,830,480 = 313,830,480 : x
  2. Step 2: Convert to fraction form
    149,184,708/313,830,480 = 313,830,480/x
  3. Step 3: Cross multiply
    149,184,708x = 313,830,480 × 313,830,480
  4. Step 4: Simplify right side
    149,184,708x = 98,489,570,177,030,400
  5. Step 5: Solve for x
    x = 98,489,570,177,030,400/149,184,708
  6. Step 6: Final answer
    x = 660,185,427.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.