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Finding the Third Proportional to 210,816,182.25 and 314,984,243.25

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Solution

The third proportional to 210,816,182.25 and 314,984,243.25 is: 470,623,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816,182.25 : 314,984,243.25 = 314,984,243.25 : x
  2. Step 2: Convert to fraction form
    210,816,182.25/314,984,243.25 = 314,984,243.25/x
  3. Step 3: Cross multiply
    210,816,182.25x = 314,984,243.25 × 314,984,243.25
  4. Step 4: Simplify right side
    210,816,182.25x = 99,215,073,495,775,168
  5. Step 5: Solve for x
    x = 99,215,073,495,775,168/210,816,182.25
  6. Step 6: Final answer
    x = 470,623,613.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.