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Finding the Third Proportional to 102,053,205 and 157,592,133

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Solution

The third proportional to 102,053,205 and 157,592,133 is: 243,356,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053,205 : 157,592,133 = 157,592,133 : x
  2. Step 2: Convert to fraction form
    102,053,205/157,592,133 = 157,592,133/x
  3. Step 3: Cross multiply
    102,053,205x = 157,592,133 × 157,592,133
  4. Step 4: Simplify right side
    102,053,205x = 24,835,280,383,489,688
  5. Step 5: Solve for x
    x = 24,835,280,383,489,688/102,053,205
  6. Step 6: Final answer
    x = 243,356,202.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.