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Finding the Third Proportional to 46,152,054 and 98,481,420

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Solution

The third proportional to 46,152,054 and 98,481,420 is: 210,144,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152,054 : 98,481,420 = 98,481,420 : x
  2. Step 2: Convert to fraction form
    46,152,054/98,481,420 = 98,481,420/x
  3. Step 3: Cross multiply
    46,152,054x = 98,481,420 × 98,481,420
  4. Step 4: Simplify right side
    46,152,054x = 9,698,590,085,216,400
  5. Step 5: Solve for x
    x = 9,698,590,085,216,400/46,152,054
  6. Step 6: Final answer
    x = 210,144,278.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.