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Finding the Third Proportional to 46,859,214.50 and 101,778,343

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Solution

The third proportional to 46,859,214.50 and 101,778,343 is: 221,062,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,859,214.50 : 101,778,343 = 101,778,343 : x
  2. Step 2: Convert to fraction form
    46,859,214.50/101,778,343 = 101,778,343/x
  3. Step 3: Cross multiply
    46,859,214.50x = 101,778,343 × 101,778,343
  4. Step 4: Simplify right side
    46,859,214.50x = 10,358,831,103,825,648
  5. Step 5: Solve for x
    x = 10,358,831,103,825,648/46,859,214.50
  6. Step 6: Final answer
    x = 221,062,841.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.