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Finding the Third Proportional to 160,164,865.50 and 349,688,019

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Solution

The third proportional to 160,164,865.50 and 349,688,019 is: 763,474,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164,865.50 : 349,688,019 = 349,688,019 : x
  2. Step 2: Convert to fraction form
    160,164,865.50/349,688,019 = 349,688,019/x
  3. Step 3: Cross multiply
    160,164,865.50x = 349,688,019 × 349,688,019
  4. Step 4: Simplify right side
    160,164,865.50x = 122,281,710,632,144,368
  5. Step 5: Solve for x
    x = 122,281,710,632,144,368/160,164,865.50
  6. Step 6: Final answer
    x = 763,474,000.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.