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Finding the Third Proportional to 98,068,249,836 and 140,237,764,272

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Solution

The third proportional to 98,068,249,836 and 140,237,764,272 is: 200,540,241,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068,249,836 : 140,237,764,272 = 140,237,764,272 : x
  2. Step 2: Convert to fraction form
    98,068,249,836/140,237,764,272 = 140,237,764,272/x
  3. Step 3: Cross multiply
    98,068,249,836x = 140,237,764,272 × 140,237,764,272
  4. Step 4: Simplify right side
    98,068,249,836x = 19,666,630,528,009,039,249,408
  5. Step 5: Solve for x
    x = 19,666,630,528,009,039,249,408/98,068,249,836
  6. Step 6: Final answer
    x = 200,540,241,728.57

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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.