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Finding the Third Proportional to 153,017,289.75 and 332,013,943.50

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Solution

The third proportional to 153,017,289.75 and 332,013,943.50 is: 720,397,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,017,289.75 : 332,013,943.50 = 332,013,943.50 : x
  2. Step 2: Convert to fraction form
    153,017,289.75/332,013,943.50 = 332,013,943.50/x
  3. Step 3: Cross multiply
    153,017,289.75x = 332,013,943.50 × 332,013,943.50
  4. Step 4: Simplify right side
    153,017,289.75x = 110,233,258,678,421,200
  5. Step 5: Solve for x
    x = 110,233,258,678,421,200/153,017,289.75
  6. Step 6: Final answer
    x = 720,397,406.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.