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Finding the Third Proportional to 202,708,670.50 and 442,573,926

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Solution

The third proportional to 202,708,670.50 and 442,573,926 is: 966,271,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,708,670.50 : 442,573,926 = 442,573,926 : x
  2. Step 2: Convert to fraction form
    202,708,670.50/442,573,926 = 442,573,926/x
  3. Step 3: Cross multiply
    202,708,670.50x = 442,573,926 × 442,573,926
  4. Step 4: Simplify right side
    202,708,670.50x = 195,871,679,975,053,472
  5. Step 5: Solve for x
    x = 195,871,679,975,053,472/202,708,670.50
  6. Step 6: Final answer
    x = 966,271,839.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.