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Finding the Third Proportional to 224,966,853.50 and 350,603,060.50

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Solution

The third proportional to 224,966,853.50 and 350,603,060.50 is: 546,402,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,966,853.50 : 350,603,060.50 = 350,603,060.50 : x
  2. Step 2: Convert to fraction form
    224,966,853.50/350,603,060.50 = 350,603,060.50/x
  3. Step 3: Cross multiply
    224,966,853.50x = 350,603,060.50 × 350,603,060.50
  4. Step 4: Simplify right side
    224,966,853.50x = 122,922,506,031,966,656
  5. Step 5: Solve for x
    x = 122,922,506,031,966,656/224,966,853.50
  6. Step 6: Final answer
    x = 546,402,743.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.