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Finding the Third Proportional to 92,045,309,946 and 215,059,376,598

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Solution

The third proportional to 92,045,309,946 and 215,059,376,598 is: 502,475,742,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045,309,946 : 215,059,376,598 = 215,059,376,598 : x
  2. Step 2: Convert to fraction form
    92,045,309,946/215,059,376,598 = 215,059,376,598/x
  3. Step 3: Cross multiply
    92,045,309,946x = 215,059,376,598 × 215,059,376,598
  4. Step 4: Simplify right side
    92,045,309,946x = 46,250,535,462,720,386,367,488
  5. Step 5: Solve for x
    x = 46,250,535,462,720,386,367,488/92,045,309,946
  6. Step 6: Final answer
    x = 502,475,742,543.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.