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Finding the Third Proportional to 109,160,906 and 236,740,033

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Solution

The third proportional to 109,160,906 and 236,740,033 is: 513,424,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,160,906 : 236,740,033 = 236,740,033 : x
  2. Step 2: Convert to fraction form
    109,160,906/236,740,033 = 236,740,033/x
  3. Step 3: Cross multiply
    109,160,906x = 236,740,033 × 236,740,033
  4. Step 4: Simplify right side
    109,160,906x = 56,045,843,224,841,088
  5. Step 5: Solve for x
    x = 56,045,843,224,841,088/109,160,906
  6. Step 6: Final answer
    x = 513,424,130.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.