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Finding the Third Proportional to 46,875,906 and 102,828,220

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Solution

The third proportional to 46,875,906 and 102,828,220 is: 225,566,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,875,906 : 102,828,220 = 102,828,220 : x
  2. Step 2: Convert to fraction form
    46,875,906/102,828,220 = 102,828,220/x
  3. Step 3: Cross multiply
    46,875,906x = 102,828,220 × 102,828,220
  4. Step 4: Simplify right side
    46,875,906x = 10,573,642,828,368,400
  5. Step 5: Solve for x
    x = 10,573,642,828,368,400/46,875,906
  6. Step 6: Final answer
    x = 225,566,687.25

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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.