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Finding the Third Proportional to 110,745,547 and 238,660,017

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Solution

The third proportional to 110,745,547 and 238,660,017 is: 514,319,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,745,547 : 238,660,017 = 238,660,017 : x
  2. Step 2: Convert to fraction form
    110,745,547/238,660,017 = 238,660,017/x
  3. Step 3: Cross multiply
    110,745,547x = 238,660,017 × 238,660,017
  4. Step 4: Simplify right side
    110,745,547x = 56,958,603,714,440,288
  5. Step 5: Solve for x
    x = 56,958,603,714,440,288/110,745,547
  6. Step 6: Final answer
    x = 514,319,584.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.