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Finding the Third Proportional to 46,877,823 and 102,831,970

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Solution

The third proportional to 46,877,823 and 102,831,970 is: 225,573,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,877,823 : 102,831,970 = 102,831,970 : x
  2. Step 2: Convert to fraction form
    46,877,823/102,831,970 = 102,831,970/x
  3. Step 3: Cross multiply
    46,877,823x = 102,831,970 × 102,831,970
  4. Step 4: Simplify right side
    46,877,823x = 10,574,414,054,080,900
  5. Step 5: Solve for x
    x = 10,574,414,054,080,900/46,877,823
  6. Step 6: Final answer
    x = 225,573,914.86

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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.