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Finding the Third Proportional to 83,547,070 and 127,721,925

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Solution

The third proportional to 83,547,070 and 127,721,925 is: 195,253,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547,070 : 127,721,925 = 127,721,925 : x
  2. Step 2: Convert to fraction form
    83,547,070/127,721,925 = 127,721,925/x
  3. Step 3: Cross multiply
    83,547,070x = 127,721,925 × 127,721,925
  4. Step 4: Simplify right side
    83,547,070x = 16,312,890,125,705,624
  5. Step 5: Solve for x
    x = 16,312,890,125,705,624/83,547,070
  6. Step 6: Final answer
    x = 195,253,886.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.