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Finding the Third Proportional to 96,973,681.50 and 215,470,719

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Solution

The third proportional to 96,973,681.50 and 215,470,719 is: 478,765,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,681.50 : 215,470,719 = 215,470,719 : x
  2. Step 2: Convert to fraction form
    96,973,681.50/215,470,719 = 215,470,719/x
  3. Step 3: Cross multiply
    96,973,681.50x = 215,470,719 × 215,470,719
  4. Step 4: Simplify right side
    96,973,681.50x = 46,427,630,746,376,960
  5. Step 5: Solve for x
    x = 46,427,630,746,376,960/96,973,681.50
  6. Step 6: Final answer
    x = 478,765,269.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.