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Finding the Third Proportional to 358,014,109.50 and 534,816,283.50

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Solution

The third proportional to 358,014,109.50 and 534,816,283.50 is: 798,930,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,014,109.50 : 534,816,283.50 = 534,816,283.50 : x
  2. Step 2: Convert to fraction form
    358,014,109.50/534,816,283.50 = 534,816,283.50/x
  3. Step 3: Cross multiply
    358,014,109.50x = 534,816,283.50 × 534,816,283.50
  4. Step 4: Simplify right side
    358,014,109.50x = 286,028,457,096,752,384
  5. Step 5: Solve for x
    x = 286,028,457,096,752,384/358,014,109.50
  6. Step 6: Final answer
    x = 798,930,683.20

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Why These Related Problems?

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