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Finding the Third Proportional to 46,793,184 and 100,985,023

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Solution

The third proportional to 46,793,184 and 100,985,023 is: 217,937,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,184 : 100,985,023 = 100,985,023 : x
  2. Step 2: Convert to fraction form
    46,793,184/100,985,023 = 100,985,023/x
  3. Step 3: Cross multiply
    46,793,184x = 100,985,023 × 100,985,023
  4. Step 4: Simplify right side
    46,793,184x = 10,197,974,870,310,528
  5. Step 5: Solve for x
    x = 10,197,974,870,310,528/46,793,184
  6. Step 6: Final answer
    x = 217,937,186.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.