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Finding the Third Proportional to 46,877,821.03 and 102,831,965.44

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Solution

The third proportional to 46,877,821.03 and 102,831,965.44 is: 225,573,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,877,821.03 : 102,831,965.44 = 102,831,965.44 : x
  2. Step 2: Convert to fraction form
    46,877,821.03/102,831,965.44 = 102,831,965.44/x
  3. Step 3: Cross multiply
    46,877,821.03x = 102,831,965.44 × 102,831,965.44
  4. Step 4: Simplify right side
    46,877,821.03x = 10,574,413,115,739,194
  5. Step 5: Solve for x
    x = 10,574,413,115,739,194/46,877,821.03
  6. Step 6: Final answer
    x = 225,573,904.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.