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Finding the Third Proportional to 142,470,932 and 225,779,534

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Solution

The third proportional to 142,470,932 and 225,779,534 is: 357,802,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,470,932 : 225,779,534 = 225,779,534 : x
  2. Step 2: Convert to fraction form
    142,470,932/225,779,534 = 225,779,534/x
  3. Step 3: Cross multiply
    142,470,932x = 225,779,534 × 225,779,534
  4. Step 4: Simplify right side
    142,470,932x = 50,976,397,973,257,152
  5. Step 5: Solve for x
    x = 50,976,397,973,257,152/142,470,932
  6. Step 6: Final answer
    x = 357,802,095.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.