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Finding the Third Proportional to 170,504,685 and 249,283,813.50

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Solution

The third proportional to 170,504,685 and 249,283,813.50 is: 364,461,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,504,685 : 249,283,813.50 = 249,283,813.50 : x
  2. Step 2: Convert to fraction form
    170,504,685/249,283,813.50 = 249,283,813.50/x
  3. Step 3: Cross multiply
    170,504,685x = 249,283,813.50 × 249,283,813.50
  4. Step 4: Simplify right side
    170,504,685x = 62,142,419,673,102,784
  5. Step 5: Solve for x
    x = 62,142,419,673,102,784/170,504,685
  6. Step 6: Final answer
    x = 364,461,654.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.