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Finding the Third Proportional to 71,301,724 and 156,221,618

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Solution

The third proportional to 71,301,724 and 156,221,618 is: 342,280,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301,724 : 156,221,618 = 156,221,618 : x
  2. Step 2: Convert to fraction form
    71,301,724/156,221,618 = 156,221,618/x
  3. Step 3: Cross multiply
    71,301,724x = 156,221,618 × 156,221,618
  4. Step 4: Simplify right side
    71,301,724x = 24,405,193,930,537,924
  5. Step 5: Solve for x
    x = 24,405,193,930,537,924/71,301,724
  6. Step 6: Final answer
    x = 342,280,558.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.