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Finding the Third Proportional to 106,308,020 and 166,547,883

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Solution

The third proportional to 106,308,020 and 166,547,883 is: 260,922,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,020 : 166,547,883 = 166,547,883 : x
  2. Step 2: Convert to fraction form
    106,308,020/166,547,883 = 166,547,883/x
  3. Step 3: Cross multiply
    106,308,020x = 166,547,883 × 166,547,883
  4. Step 4: Simplify right side
    106,308,020x = 27,738,197,331,781,688
  5. Step 5: Solve for x
    x = 27,738,197,331,781,688/106,308,020
  6. Step 6: Final answer
    x = 260,922,904.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.