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Finding the Third Proportional to 152,474,386.50 and 235,598,206.50

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Solution

The third proportional to 152,474,386.50 and 235,598,206.50 is: 364,038,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,474,386.50 : 235,598,206.50 = 235,598,206.50 : x
  2. Step 2: Convert to fraction form
    152,474,386.50/235,598,206.50 = 235,598,206.50/x
  3. Step 3: Cross multiply
    152,474,386.50x = 235,598,206.50 × 235,598,206.50
  4. Step 4: Simplify right side
    152,474,386.50x = 55,506,514,906,016,640
  5. Step 5: Solve for x
    x = 55,506,514,906,016,640/152,474,386.50
  6. Step 6: Final answer
    x = 364,038,289.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.