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Finding the Third Proportional to 98,492,700,925.50 and 199,726,076,985

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Solution

The third proportional to 98,492,700,925.50 and 199,726,076,985 is: 405,009,766,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,492,700,925.50 : 199,726,076,985 = 199,726,076,985 : x
  2. Step 2: Convert to fraction form
    98,492,700,925.50/199,726,076,985 = 199,726,076,985/x
  3. Step 3: Cross multiply
    98,492,700,925.50x = 199,726,076,985 × 199,726,076,985
  4. Step 4: Simplify right side
    98,492,700,925.50x = 39,890,505,827,818,143,744,000
  5. Step 5: Solve for x
    x = 39,890,505,827,818,143,744,000/98,492,700,925.50
  6. Step 6: Final answer
    x = 405,009,766,743.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.