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Finding the Third Proportional to 109,160,910 and 236,740,038

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Solution

The third proportional to 109,160,910 and 236,740,038 is: 513,424,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,160,910 : 236,740,038 = 236,740,038 : x
  2. Step 2: Convert to fraction form
    109,160,910/236,740,038 = 236,740,038/x
  3. Step 3: Cross multiply
    109,160,910x = 236,740,038 × 236,740,038
  4. Step 4: Simplify right side
    109,160,910x = 56,045,845,592,241,440
  5. Step 5: Solve for x
    x = 56,045,845,592,241,440/109,160,910
  6. Step 6: Final answer
    x = 513,424,133.16

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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.