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Finding the Third Proportional to 114,849,094.50 and 172,357,638.75

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Solution

The third proportional to 114,849,094.50 and 172,357,638.75 is: 258,662,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,094.50 : 172,357,638.75 = 172,357,638.75 : x
  2. Step 2: Convert to fraction form
    114,849,094.50/172,357,638.75 = 172,357,638.75/x
  3. Step 3: Cross multiply
    114,849,094.50x = 172,357,638.75 × 172,357,638.75
  4. Step 4: Simplify right side
    114,849,094.50x = 29,707,155,635,475,500
  5. Step 5: Solve for x
    x = 29,707,155,635,475,500/114,849,094.50
  6. Step 6: Final answer
    x = 258,662,515.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.