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Finding the Third Proportional to 98,068,249,842 and 140,237,764,281

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Solution

The third proportional to 98,068,249,842 and 140,237,764,281 is: 200,540,241,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068,249,842 : 140,237,764,281 = 140,237,764,281 : x
  2. Step 2: Convert to fraction form
    98,068,249,842/140,237,764,281 = 140,237,764,281/x
  3. Step 3: Cross multiply
    98,068,249,842x = 140,237,764,281 × 140,237,764,281
  4. Step 4: Simplify right side
    98,068,249,842x = 19,666,630,530,533,318,197,248
  5. Step 5: Solve for x
    x = 19,666,630,530,533,318,197,248/98,068,249,842
  6. Step 6: Final answer
    x = 200,540,241,742.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.