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Finding the Third Proportional to 109,605,888 and 238,506,768

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Solution

The third proportional to 109,605,888 and 238,506,768 is: 519,000,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,605,888 : 238,506,768 = 238,506,768 : x
  2. Step 2: Convert to fraction form
    109,605,888/238,506,768 = 238,506,768/x
  3. Step 3: Cross multiply
    109,605,888x = 238,506,768 × 238,506,768
  4. Step 4: Simplify right side
    109,605,888x = 56,885,478,381,805,824
  5. Step 5: Solve for x
    x = 56,885,478,381,805,824/109,605,888
  6. Step 6: Final answer
    x = 519,000,205.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.