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Finding the Third Proportional to 46,641,492 and 96,270,421.50

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Solution

The third proportional to 46,641,492 and 96,270,421.50 is: 198,707,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,641,492 : 96,270,421.50 = 96,270,421.50 : x
  2. Step 2: Convert to fraction form
    46,641,492/96,270,421.50 = 96,270,421.50/x
  3. Step 3: Cross multiply
    46,641,492x = 96,270,421.50 × 96,270,421.50
  4. Step 4: Simplify right side
    46,641,492x = 9,267,994,055,787,662
  5. Step 5: Solve for x
    x = 9,267,994,055,787,662/46,641,492
  6. Step 6: Final answer
    x = 198,707,066.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.