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Finding the Third Proportional to 157,272,541.50 and 342,157,011

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Solution

The third proportional to 157,272,541.50 and 342,157,011 is: 744,385,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,272,541.50 : 342,157,011 = 342,157,011 : x
  2. Step 2: Convert to fraction form
    157,272,541.50/342,157,011 = 342,157,011/x
  3. Step 3: Cross multiply
    157,272,541.50x = 342,157,011 × 342,157,011
  4. Step 4: Simplify right side
    157,272,541.50x = 117,071,420,176,454,128
  5. Step 5: Solve for x
    x = 117,071,420,176,454,128/157,272,541.50
  6. Step 6: Final answer
    x = 744,385,631.85

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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.