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Finding the Third Proportional to 201,810,080 and 442,686,784

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Solution

The third proportional to 201,810,080 and 442,686,784 is: 971,069,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810,080 : 442,686,784 = 442,686,784 : x
  2. Step 2: Convert to fraction form
    201,810,080/442,686,784 = 442,686,784/x
  3. Step 3: Cross multiply
    201,810,080x = 442,686,784 × 442,686,784
  4. Step 4: Simplify right side
    201,810,080x = 195,971,588,728,262,656
  5. Step 5: Solve for x
    x = 195,971,588,728,262,656/201,810,080
  6. Step 6: Final answer
    x = 971,069,377.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.