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Finding the Third Proportional to 98,068,249,844 and 140,237,764,284

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Solution

The third proportional to 98,068,249,844 and 140,237,764,284 is: 200,540,241,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068,249,844 : 140,237,764,284 = 140,237,764,284 : x
  2. Step 2: Convert to fraction form
    98,068,249,844/140,237,764,284 = 140,237,764,284/x
  3. Step 3: Cross multiply
    98,068,249,844x = 140,237,764,284 × 140,237,764,284
  4. Step 4: Simplify right side
    98,068,249,844x = 19,666,630,531,374,745,911,296
  5. Step 5: Solve for x
    x = 19,666,630,531,374,745,911,296/98,068,249,844
  6. Step 6: Final answer
    x = 200,540,241,746.53

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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.