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Finding the Third Proportional to 46,646,461.06 and 101,497,042.56

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Solution

The third proportional to 46,646,461.06 and 101,497,042.56 is: 220,845,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646,461.06 : 101,497,042.56 = 101,497,042.56 : x
  2. Step 2: Convert to fraction form
    46,646,461.06/101,497,042.56 = 101,497,042.56/x
  3. Step 3: Cross multiply
    46,646,461.06x = 101,497,042.56 × 101,497,042.56
  4. Step 4: Simplify right side
    46,646,461.06x = 10,301,649,649,329,774
  5. Step 5: Solve for x
    x = 10,301,649,649,329,774/46,646,461.06
  6. Step 6: Final answer
    x = 220,845,256.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.