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Finding the Third Proportional to 164,653,223.91 and 359,478,779.63

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Solution

The third proportional to 164,653,223.91 and 359,478,779.63 is: 784,831,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,653,223.91 : 359,478,779.63 = 359,478,779.63 : x
  2. Step 2: Convert to fraction form
    164,653,223.91/359,478,779.63 = 359,478,779.63/x
  3. Step 3: Cross multiply
    164,653,223.91x = 359,478,779.63 × 359,478,779.63
  4. Step 4: Simplify right side
    164,653,223.91x = 129,224,993,000,679,312
  5. Step 5: Solve for x
    x = 129,224,993,000,679,312/164,653,223.91
  6. Step 6: Final answer
    x = 784,831,234.61

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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.