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Finding the Third Proportional to 109,130,042 and 164,828,064

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Solution

The third proportional to 109,130,042 and 164,828,064 is: 248,953,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,130,042 : 164,828,064 = 164,828,064 : x
  2. Step 2: Convert to fraction form
    109,130,042/164,828,064 = 164,828,064/x
  3. Step 3: Cross multiply
    109,130,042x = 164,828,064 × 164,828,064
  4. Step 4: Simplify right side
    109,130,042x = 27,168,290,681,988,096
  5. Step 5: Solve for x
    x = 27,168,290,681,988,096/109,130,042
  6. Step 6: Final answer
    x = 248,953,360.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.