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Finding the Third Proportional to 46,965,211.50 and 100,875,633

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Solution

The third proportional to 46,965,211.50 and 100,875,633 is: 216,668,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965,211.50 : 100,875,633 = 100,875,633 : x
  2. Step 2: Convert to fraction form
    46,965,211.50/100,875,633 = 100,875,633/x
  3. Step 3: Cross multiply
    46,965,211.50x = 100,875,633 × 100,875,633
  4. Step 4: Simplify right side
    46,965,211.50x = 10,175,893,333,150,688
  5. Step 5: Solve for x
    x = 10,175,893,333,150,688/46,965,211.50
  6. Step 6: Final answer
    x = 216,668,742.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.