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Finding the Third Proportional to 98,068,249,854 and 140,237,764,299

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Solution

The third proportional to 98,068,249,854 and 140,237,764,299 is: 200,540,241,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068,249,854 : 140,237,764,299 = 140,237,764,299 : x
  2. Step 2: Convert to fraction form
    98,068,249,854/140,237,764,299 = 140,237,764,299/x
  3. Step 3: Cross multiply
    98,068,249,854x = 140,237,764,299 × 140,237,764,299
  4. Step 4: Simplify right side
    98,068,249,854x = 19,666,630,535,581,880,287,232
  5. Step 5: Solve for x
    x = 19,666,630,535,581,880,287,232/98,068,249,854
  6. Step 6: Final answer
    x = 200,540,241,768.98

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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.