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Finding the Third Proportional to 46,714,239 and 102,225,973

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Solution

The third proportional to 46,714,239 and 102,225,973 is: 223,703,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714,239 : 102,225,973 = 102,225,973 : x
  2. Step 2: Convert to fraction form
    46,714,239/102,225,973 = 102,225,973/x
  3. Step 3: Cross multiply
    46,714,239x = 102,225,973 × 102,225,973
  4. Step 4: Simplify right side
    46,714,239x = 10,450,149,555,796,728
  5. Step 5: Solve for x
    x = 10,450,149,555,796,728/46,714,239
  6. Step 6: Final answer
    x = 223,703,731.01

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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.