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Finding the Third Proportional to 51,098,709 and 112,090,232

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Solution

The third proportional to 51,098,709 and 112,090,232 is: 245,881,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098,709 : 112,090,232 = 112,090,232 : x
  2. Step 2: Convert to fraction form
    51,098,709/112,090,232 = 112,090,232/x
  3. Step 3: Cross multiply
    51,098,709x = 112,090,232 × 112,090,232
  4. Step 4: Simplify right side
    51,098,709x = 12,564,220,109,813,824
  5. Step 5: Solve for x
    x = 12,564,220,109,813,824/51,098,709
  6. Step 6: Final answer
    x = 245,881,360.91

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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.